Globally enriched substructuring techniques for vibro-acoustic simulation Umut Tabak and Daniel J. Rixen Abstract The coupling between structures and internal and/or external acoustics in fluids is a common issue in many industrial design fields. Discretization of these kinds of problems results in a large number of equations which might sometimes impede a reasonable design time-line. Model reduction methods are used to efficiently reduce the system size and conduct analysis on the reduced problems. This research paper outlines some extensions of the standard Craig-Bampton method to strongly coupled vibroacoustic problems. Namely, the standard Craig-Bampton basis is enriched with the approximations of global mode representations, which are the outcomes of a new iterative solver that is being developed, namely Iterative Reduced Correction Algorithm, IRCA. An academic test example is considered to show the validity of the proposed substructuring schemes along with error comparisons on the frequency values. 1 Introduction Coupling of elastic structures with the acoustics of light/heavy fluids is an important aspect in many design fields, such as aerospace and automotive industries. Prediction of this kind of coupled behaviour is commonly accomplished by the well known Finite Element Method [1] for interior problems. Exterior radiation problems are tackled either with Boundary Element [2] or Infinite Element methods [3]. Interaction of different physical domains often lead to unsymmetric system matrices [4], in particular when the different fields are described by different physical quantities. Umut Tabak Delft University of Technology, Mekelweg 2, 2628CD, Delft, The Netherlands, e-mail: u.tabak@tudelft.nl Daniel J. Rixen Delft University of Technology, Mekelweg 2, 2628CD, Delft, The Netherlands, e-mail: d.j.rixen@tudelft.nl T. Proulx (ed.), Linking Models and Experiments, Volume 2, Conference Proceedings of the Society for Experimental Mechanics Series 5, DOI 10.1007/978-1-4419-9305-2_19, © The Society for Experimental Mechanics, Inc. 2011 263
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